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Finding the Fourth Proportional to 23,843.16, 35,682.12 and 14,478.48

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Solution

The fourth proportional to 23,843.16, 35,682.12 and 14,478.48 is: 21,667.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.16 : 35,682.12 = 14,478.48 : x
  2. Step 2: Convert to fraction form
    23,843.16/35,682.12 = 14,478.48/x
  3. Step 3: Cross multiply
    23,843.16x = 35,682.12 × 14,478.48
  4. Step 4: Simplify right side
    23,843.16x = 516,622,860.78
  5. Step 5: Solve for x
    x = 516,622,860.78/23,843.16
  6. Step 6: Final answer
    x = 21,667.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.